TITLE:
Periodic Solutions in UMD Spaces for Some Neutral Partial Functional Differential Equations
AUTHORS:
Rachid Bahloul, Khalil Ezzinbi, Omar Sidki
KEYWORDS:
Neutral Partial Functional Differential Equations, Periodic Solutions, R-Boundedness, Lp-Multipliers, UMD Spaces
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.6 No.10,
September
26,
2016
ABSTRACT: The aim of this work is to study the existence of a periodic solution for some neutral partial functional differential equations. Our approach is based on the R-boundedness of linear operators Lp-multipliers and UMD-spaces.